Publications

Pre-prints

Piedade, C. A. &  Tranchida, P.  (2025) From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries, pre-print, 60 pages. arXiv:2505.24662

Post-Doc

Fernandes, M. E., & Piedade, C. A. (2026) Regular polytopes of rank n/2 for transitive groups of degree n. Journal of Algebra Volume 689, 1 March 2026, Pages 256-296. doi:10.1016/j.jalgebra.2025.10.017

Fernandes, M. E., & Piedade, C. A. (2025) The degrees of the orientation-preserving automorphism groups of toroidal maps and hypermaps. Journal of Algebraic Combinatorics, Volume 61, article number 55. doi:10.1007/s10801-025-01418-2

Piedade, C. A. & Tranchida, P. (2025) Constructing New Geometries: A Generalized Approach to Halving for Hypertopes. Combinatorica, Volume 45, article number 10. doi:10.1007/s00493-024-00134-y

Fernandes, M. E., Piedade, C. A. , & Reade, O. (2024) String C-group representations of transitive groups: a case study with degree 11. The Art of Discrete and Applied Mathematics, Vol. 7 No. 2 doi:10.26493/2590-9770.1627.77a

Piedade, C. A.
(2023) Infinite families of hypertopes from centrally symmetric polytopes. Electronic Journal of Combinatorics, 40(2), P2.20. doi:10.37236/10392

During PhD

Fernandes, M. E., & Piedade, C. A. (2022) The degrees of regular polytopes [4,4,4]. SIAM Journal on Discrete Mathematics, 36(2), 1143-1155. doi:10.1137/20M1375012

Fernandes, M. E., Leemans, D., Piedade, C. A., & Weiss, A. I. (2021) Two families of locally toroidal regular 4-hypertopes arising from toroids. In Contemporary Mathematics, volume 764, pages 89–100. American Mathematical Society.  doi:10.1090/conm/764/15331

Fernandes, M. E., & Piedade, C. A. (2021) The degrees of toroidal regular proper hypermaps. The Art of Discrete and Applied Mathematics, 4(3), P3-13. doi:10.26493/2590-9770.1350.c36

Fernandes, M. E., & Piedade, C. A. (2020) Faithful permutation representations of toroidal regular maps. Journal of Algebraic Combinatorics, 52(3), 317-337. doi:10.1007/s10801-019-00904-8

Fernandes, M. E., & Piedade, C. A. (2020)
Correction to “Faithful permutation representations of toroidal regular maps”. Journal of Algebraic Combinatorics, 1-6.  doi:10.1007/s10801-020-00985-w

Prior PhD

Piedade, C. A., Silva, M. S., Cordeiro, C., & Ferreira, A. E. (2017) Virus Disassembly Pathways Predicted from Geometry and Configuration Energy. In International Joint Conference on Biomedical Engineering Systems and Technologies (pp. 289-301). Springer, Cham. 8. doi:10.1007/978-3-319-94806-5_16

Piedade C.A., Ferreira A. & Cordeiro C. (2017) How to Disassemble a Virus Capsid - A Computational Approach. In Proceedings of the 10th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 3: BIOINFORMATICS, (BIOSTEC 2017) ISBN 978-989-758-214-1, pages 217-222.    doi:10.5220/0006249802170222

Thesis

Piedade, C.A. Faithful permutation representations of C-groups. PhD thesis, Universidade de Aveiro (2022)

Piedade, C.A. How to Disassemble a Virus Capsid - A Computational Approach. Master thesis, Faculdade de Ciências da Universidade de Lisboa (2017)